Question

5cosA+12sinA=13 then find tanA​

Answer 1

Answer:

(Without further information about the angle

A

, I assume that that angle is in the first quadrant)

sin

A

=

√

1

−

cos

2

A

=

√

1

−

25

169

=

√

169

−

25

169

=

=

√

144

169

=

12

13

,

and

tan

A

=

sin

A

cos

A

=

12

13

5

13

=

12

13

⋅

13

5

=

12

5

.

Answer link

Answer 2

Answer:

Step-by-step explanation:

(5/13)cosA+(12/13)sinA=1

In a triangle we have pythogorean triplets

so

cosAcosA+sinAsinA=1

LHS

cos^2A+sin^2A=1=RHS

so

cosA=5/13

sinA=12/13

tanA=12/5